English

{\Lambda}CDM cosmology from visible matter only

General Relativity and Quantum Cosmology 2016-06-28 v2

Abstract

We discuss physical interpretation of {\Lambda}CDM cosmology from a Machian model of the universe containing nothing but visible matter (ordinary matter, radiation). The Friedmann equation can be derived from a Machian definition of energy, whereby both kinetic and potential energy of a particle are related to all cosmic matter-energy within the particle's gravitational horizon. The distance to this horizon thus appears as a parameter in all forms of matter-energy density. From conservation of Machian energy it follows that all different types of matter-energy are uniformly characterized by \rho\propto 1/a, i.e., by a constant deceleration q=-1/2. This coincides with relative densities \varOmega_{m}=1/3 and \Omega_{\Lambda}=2/3 of {\Lambda}CDM. Thus the Machian cosmological model matches present relative densities of {\Lambda}CDM, without invoking dark components.

Keywords

Cite

@article{arxiv.1504.01924,
  title  = {{\Lambda}CDM cosmology from visible matter only},
  author = {Herman Telkamp},
  journal= {arXiv preprint arXiv:1504.01924},
  year   = {2016}
}

Comments

Revised version,6 pages

R2 v1 2026-06-22T09:12:33.092Z